The total surface area of a cylinder is 690.8
inches. its diameter is 10 inches. what is its
height?

Height = 16.99 inches.

Step-by-step explanation:

We know, the surface area of a cylinder = 2πrh + 2πr^2

Given,

Diameter of a cylinder, 2r = 10 inches

r = 5 inches

According to the question,

2πrh + 2πr^2 = 690.8

or, 2r*π*h + 2(r^2)*π = 690.8

or, 10*3.1416*h + 2(5^2)*3.1416 = 690.8

or, 31.416h + 157.08 = 690.8

or, 31.416h = 690.8-157.08

or, 31.416h = 533.72

or, h = 533.72/31.416

or, h = 16.99

Therefore, the height of the cylinder is 16.99 inches.

answer: about 22.67

step-by-step explanation: